题海无边,题根是岸——例谈一个不等式题根的精彩演绎

• 作 者: 洪恩锋
• 机 构: 辽宁省抚顺市第一中学,
• 出 处: 数学通讯
• 发表日期: 2014年19期
• 关键词: 证明过程 隐含条件 数学之美 解题思路 椭圆中心 当且仅当 数学奥林匹克 竞赛题 竞赛试题 恒等变形

水有源,故其流不穷;木有根,故其生不穷.我们常将源于教材的例题、习题,抑或经过适当的变形、扩展、提炼后能够广泛应用于解题实战的结论统称为题根,这些题根是各类考试中设置题目的重要素材,源头活水,其功效不逊于教材中的重要定理.下文以一个不等式为例说明,权当抛砖引玉.

Therefore, the water is active, so its flow is not poor; wood has roots, so its life and death.We often come from the teaching of examples, exercises, or after appropriate deformation, expansion, refining can be widely used in solving the actual combat conclusion Collectively referred to as the title of the questions, these questions are all kinds of exam questions set an important material, the source of living water, its effectiveness is not less than the teaching of the important theorems below to illustrate an inequality, the right should be cited.